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10426693536 = 25327219371051
BaseRepresentation
bin10011011010111101…
…01011011110100000
3222220122122220121200
421231132223132200
5132323213143121
64442344121200
7516245301300
oct115536533640
928818586550
1010426693536
1144706621a6
12202ba66200
13ca2216a5c
1470cab5600
15410595a26
hex26d7ab7a0

10426693536 has 432 divisors, whose sum is σ = 37323992160. Its totient is φ = 2743372800.

The previous prime is 10426693531. The next prime is 10426693547. The reversal of 10426693536 is 63539662401.

10426693536 is a `hidden beast` number, since 1 + 0 + 4 + 26 + 6 + 93 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10426693491 and 10426693500.

It is not an unprimeable number, because it can be changed into a prime (10426693531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9920211 + ... + 9921261.

It is an arithmetic number, because the mean of its divisors is an integer number (86398130).

Almost surely, 210426693536 is an apocalyptic number.

10426693536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10426693536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661996080).

10426693536 is an abundant number, since it is smaller than the sum of its proper divisors (26897298624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10426693536 is a wasteful number, since it uses less digits than its factorization.

10426693536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 10426693536 in words is "ten billion, four hundred twenty-six million, six hundred ninety-three thousand, five hundred thirty-six".